Scattering model for quantum random walk on the hypercube
... (with pseudo-eigenvalue 1) and linearly independent (but not orthogonal) set {|1i−|ki : k = 2, . . . , d} (with (d−1)degenerate pseudo-eigenvalue -1). Making the direct sum of these eigenvectors gives us a pseudo-eigensystem of U , with pseudo-eigenvalues ±1. There are many other choices of the refl ...
... (with pseudo-eigenvalue 1) and linearly independent (but not orthogonal) set {|1i−|ki : k = 2, . . . , d} (with (d−1)degenerate pseudo-eigenvalue -1). Making the direct sum of these eigenvectors gives us a pseudo-eigensystem of U , with pseudo-eigenvalues ±1. There are many other choices of the refl ...
Lecture 7: Stationary Perturbation Theory In most practical
... where I have written λV for H 0 . The parameter λ can be thought of as some quantity which can be varied at will and can be reduced to zero, in which case the perturbation disappears and all results must revert to the unperturbed case. If we consider the case of a hydrogen spectrum which we observe ...
... where I have written λV for H 0 . The parameter λ can be thought of as some quantity which can be varied at will and can be reduced to zero, in which case the perturbation disappears and all results must revert to the unperturbed case. If we consider the case of a hydrogen spectrum which we observe ...
Effective gravitational interactions of dark matter axions
... If the PQ phase transition occurs after inflation, it can be different for each QCD horizon. Even if the PQ phase transition occurs before inflation, there are fluctuations originating from quantum fluctuations. The coherently oscillating axions have momenta comparable to or less than the Hubble ...
... If the PQ phase transition occurs after inflation, it can be different for each QCD horizon. Even if the PQ phase transition occurs before inflation, there are fluctuations originating from quantum fluctuations. The coherently oscillating axions have momenta comparable to or less than the Hubble ...
pdf
... But if the particles are quantum mechanically identical (that is, are subject to quantum mechanical exchange symmetry), the above expectation is incorrect. Ensembles of identical particles can be either bosons or fermions and their fluctuation properties are very different. Most statistical physics ...
... But if the particles are quantum mechanically identical (that is, are subject to quantum mechanical exchange symmetry), the above expectation is incorrect. Ensembles of identical particles can be either bosons or fermions and their fluctuation properties are very different. Most statistical physics ...
Angle Matrix Elements
... not well known. The version given here is from Jackson, Classical Electrodynamics, 2nd Ed., Eq. (3.70). The whole point of this formula is to separate the variables of particle 1 from the variables of particle 2. Once that has been done it is easy to evaluate angular matrix elements. That is, we nee ...
... not well known. The version given here is from Jackson, Classical Electrodynamics, 2nd Ed., Eq. (3.70). The whole point of this formula is to separate the variables of particle 1 from the variables of particle 2. Once that has been done it is easy to evaluate angular matrix elements. That is, we nee ...
Physics IV - Script of the Lecture Prof. Simon Lilly Notes from:
... – It has a precise and well defined position and momentum – It’s obeying Newton’s Laws of Motion – In principle, the Physics of Particles is completely deterministic • We also have the electromagnetic fields and waves – The electromagnetic fields pervade all space – They’re governed by Maxwell’s equ ...
... – It has a precise and well defined position and momentum – It’s obeying Newton’s Laws of Motion – In principle, the Physics of Particles is completely deterministic • We also have the electromagnetic fields and waves – The electromagnetic fields pervade all space – They’re governed by Maxwell’s equ ...
Establishing the Riemannian structure of space-time by
... the particular generalized form of the relativistic field equations. To overcome all these problems of physical motivation, we follow a different strategy: We take as field equation for the vector valued complex field the most general linear system of partial differential equations of arbitrary orde ...
... the particular generalized form of the relativistic field equations. To overcome all these problems of physical motivation, we follow a different strategy: We take as field equation for the vector valued complex field the most general linear system of partial differential equations of arbitrary orde ...
Molecular Magnets in the Field Of Quantum Computing
... equivalent to the magnetic moment of the molecule aligning itself with the field, giving a maximum value. This initialization field can then be reduced to a level such that there is an offset between the two wells. Known as the bias field, this prevents quantum tunneling between quasi-equivalent eig ...
... equivalent to the magnetic moment of the molecule aligning itself with the field, giving a maximum value. This initialization field can then be reduced to a level such that there is an offset between the two wells. Known as the bias field, this prevents quantum tunneling between quasi-equivalent eig ...
Satval-Monte-Carlo computer code for windows
... Since the spectacular discovery of the phenomenon in 1979, advanced experimental and theoretical studies on heavy-fermion superconductivity have continued to be at the very forefront of modern condensed matter physics. This is due to the special character of the superconducting state, which cannot b ...
... Since the spectacular discovery of the phenomenon in 1979, advanced experimental and theoretical studies on heavy-fermion superconductivity have continued to be at the very forefront of modern condensed matter physics. This is due to the special character of the superconducting state, which cannot b ...
Creation and Destruction Operators and Coherent States
... We can use this last equation to find the wave functions for all the states. Using ...
... We can use this last equation to find the wave functions for all the states. Using ...
Quantum description of Einstein`s Brownian motion
... thereof兲, so that one cannot introduce different masses and different coupling constants. According to Eq. 共9兲 or 共16兲 in a density-density interaction the test particle is differently coupled to the various q components of the number-density operator for the macroscopic system q, depending on the ...
... thereof兲, so that one cannot introduce different masses and different coupling constants. According to Eq. 共9兲 or 共16兲 in a density-density interaction the test particle is differently coupled to the various q components of the number-density operator for the macroscopic system q, depending on the ...
The presentation template
... Finally, Alice sends her (single) qubit to Bob Bob now has one of the Bell states. These are orthonormal and can be distinguished by measurements. ...
... Finally, Alice sends her (single) qubit to Bob Bob now has one of the Bell states. These are orthonormal and can be distinguished by measurements. ...
Quantum-electrodynamical approach to the Casimir force
... Another way, chosen by some authors for computing the Casimir force, consists in writing down an expression derived directly from Maxwell’s stress tensor instead of differentiating the energy relation. Unfortunately this method does not remove the divergencies brought about by summation over modes s ...
... Another way, chosen by some authors for computing the Casimir force, consists in writing down an expression derived directly from Maxwell’s stress tensor instead of differentiating the energy relation. Unfortunately this method does not remove the divergencies brought about by summation over modes s ...
The String Theory
... spatial universe. It is conceivable that our universe is just one membrane that is a part of an infinite number of membranes. However, those membranes could reside in 5, 6, or 7 dimensions. Therefore, they could be right next to us but our three dimensional existence could never interact with them, ...
... spatial universe. It is conceivable that our universe is just one membrane that is a part of an infinite number of membranes. However, those membranes could reside in 5, 6, or 7 dimensions. Therefore, they could be right next to us but our three dimensional existence could never interact with them, ...
Diverging equilibration times in long
... Despite its simplifying assumptions, the model captures well both the decay and the beating observed experimentally. Moreover, the Emch-Radin model and its random generalizations [16] have proved useful as paradigmatic models for which the approach to equilibrium in quantum systems can be studied an ...
... Despite its simplifying assumptions, the model captures well both the decay and the beating observed experimentally. Moreover, the Emch-Radin model and its random generalizations [16] have proved useful as paradigmatic models for which the approach to equilibrium in quantum systems can be studied an ...
pdf - at www.arxiv.org.
... motion, in a multiple scattering approximations. This could be so even for such scattering mechanisms of electron in a zero-dimensional nanostructure which in the case of a bulk system is regarded as weak. The conditions for the use of the multiple scattering of an electron on the scattering center ...
... motion, in a multiple scattering approximations. This could be so even for such scattering mechanisms of electron in a zero-dimensional nanostructure which in the case of a bulk system is regarded as weak. The conditions for the use of the multiple scattering of an electron on the scattering center ...